= Penrose inequality
{c}
{title2=$E\geq\sqrt{A/(16\pi)}$}
The <Penrose inequality> compares asymptotic energy and an appropriate horizon or enclosing area in <geometrized units>. Its physical motivation uses censorship, positive radiated energy, settling to a <Kerr black hole>, and <Hawking's area theorem>. The area variable requires care: the area of an arbitrary <apparent horizon> on non-time-symmetric data does not give a universally valid inequality. The <Riemannian Penrose inequality> uses the relevant outermost <minimal surface> under nonnegative <scalar curvature>.
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